Question

The circumference of two concentric circles are 176cm and 132cm respectively what is difference between radii options are 3.5 ,7,10.5,14

Answer 1

Answer:

R - r = 7 cm

Step-by-step explanation:

Let the radii of the two circles be R and r where R > r

2πR = 176                   and               2πr = 132

So,    2πR - 2πr = 176 - 132

         2π(R - r) = 44

         2(22/7)(R - r) = 44

         44/7 × (R - r) = 44

          (R - r)/7 = 1

          R - r = 7 cm

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Answer 2

So for the 1st one  

176 = $\pi$ × x

x = $\frac{176}{\pi }$

= 56.0 cm ( 3 significant figures)

The next one is :

132 = $\pi$ × y

y = $\frac{132}{\pi }$

= 42.0 cm (3 significant figures)

So the difference is 56 - 42 = 14 cm (diameter)

So radii difference is 14 ÷ 2

= 7 cm (radii)